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Null vectors of the W_3 algebra
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abstract
We construct $W_3$ null vectors of a restricted class explicitly in two different forms. The method we use is an extension of that of Bauer et al.~in the Virasoro case. Our results are analogous to the formulae of Benoit and St.~Aubin for the Virasoro null vectors. We derive in the Virasoro case some alternative formulae for the same null vectors involving only the $L_{-1}$ and $L_{-2}$ modes of the Virasoro algebra. }
Forward citations
Cited by 2 Pith papers
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Explicit expressions for Virasoro singular vectors
Two explicit partition-sum expressions for generic Virasoro singular vectors N_{p,s-1} are obtained by solving the Bauer et al recursion.
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Towards $W_3$ classical blocks with semi-degenerate operators
Explicit heavy-light accessory parameters and classical W3 blocks are obtained for 4-point blocks with level-1 and level-2 semi-degenerate operators, including one non-identity intermediate channel.
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